Groups with Chernikov factor-group by hypercentral. (Q496395)
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scientific article; zbMATH DE number 6483929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups with Chernikov factor-group by hypercentral. |
scientific article; zbMATH DE number 6483929 |
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Groups with Chernikov factor-group by hypercentral. (English)
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21 September 2015
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In this interesting paper the authors extend some classical theorems involving the terms and the factor groups of the central series of a group. They show that a periodic hypercentral-by-Chernikov group is Chernikov-by-hypercentral and obtain explicit bounds that describe numerical invariants of the second structure of the group as a function of the first one.
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upper central series
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hypercenter
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Chernikov-by-hypercentral groups
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locally nilpotent residual
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\(p\)-ranks
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\(p\)-minimal ranks
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minimax ranks
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periodic Chernikov groups
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Schur theorem
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Baer theorem
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